Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 01:16

2

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

77% (01:50) correct
23% (00:45) wrong based on 48 sessions

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 01:26

In 1 hr,

volume = 22 = pi (r^3)(0.7)

pi is 22/7 (approximately), so 22 = 22/7(r^3)(7/10)

22 = 22/10(r^3)
10 = r^3

So choice c,d, and e are out since 4^3, 5^3 and 10^3 are out greater than 10.

sqrt9 = 3, sqrt 16 = 4, so sqrt10 is going to be slightly above 3. So choice B is out, since r^3 = 10 * sqrt(10) which is going to be slightly above 30.

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 20:40

I made an error in calculation !! Sorry, the volume of the cylinder should be pi*r^2*h. I do not know why I put it down as pi*r^3^h and even went on to work out the problem.

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Dec 2005, 22:36

GMATT73 wrote:

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?

A. sqrt10/2 B. sqrt10 C. 4 D. 5 E. 10

22 = PI r^2 * 0.7
22 = 22/7 * r^2 * 0.7
1= r^2/10
=> r= Sqrt(10) ----> B

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Aug 2014, 20:28

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
18 Aug 2014, 21:20

GMATT73 wrote:

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?

A. sqrt10/2 B. sqrt10 C. 4 D. 5 E. 10

The area of the base = 22/0.7 = 220/7 = about 31 m^2 = Pi * r^2 --> r^2 = 31/3.14 = about 10 --> r = sqrt (10)

Answer is B _________________

......................................................................... +1 Kudos please, if you like my post

Re: When a cylindrical tank is filled with water at a rate of 22 [#permalink]
19 Aug 2014, 01:28

1

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

GMATT73 wrote:

When a cylindrical tank is filled with water at a rate of 22 cubic meters per hour, the level of water in the tank rises at a rate of 0.7 meters per hour. Which of the following best approximates the radius of the tank in meters?

A. √10/2 B. √10 C. 4 D. 5 E. 10

We are basically told that a cylinder with a height of 0.7 (7/10) meters has the volume of 22 cubic meters.